Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions-Reference-Cited by-同舟云学术

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Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions

Published:2020-12 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Li Xiaoping^ORCID,He Minyuan

Abstract

AbstractA four-point boundary problem for a fractional p-Laplacian differential equation is studied. The existence of two positive solutions is established by means of the monotone iterative method. An example supporting the abstract result is given.

Funder

Natural Science Foundation of Hunan Province

Scientific Research Foundation of Hunan Provincial Education Department

Chenzhou of Hunan province Science and Technology Planning Project

Project on Innovative Entrepreneurship Training for College Students of Hunan Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-020-03066-1.pdf

Reference29 articles.

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2. Zhao, Y., Sun, S., Han, Z., Zhang, M.: Positive solutions for boundary value problems of nonlinear fractional differential equations. Appl. Math. Comput. 217, 6950–6958 (2011). https://doi.org/10.1016/j.amc.2011.01.103

3. Zhang, S.: Positive solutions for boundary-value problems of nonlinear fractional differential equations. Electron. J. Differ. Equ. 2006, 36 (2006)

4. Cui, Y.: Uniqueness of solution for boundary value problems for fractional differential equations. Appl. Math. Lett. 51, 48–54 (2016)

5. Wang, X.: Impulsive boundary value problem for nonlinear differential equations of fractional order. Comput. Math. Appl. 62, 2383–2391 (2011). https://doi.org/10.1016/j.camwa.2011.07.026

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1. On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative;AIMS Mathematics;2021

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